document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=488286>Question 488286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need help please. \r<BR>\n" );
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document.write( "The area of a rectangular swimming pool is given by 3x^2+11x+6 ft^2. One side length of the pool is given by 3x + 2 feet. What is an algebraic expression for the other side length of the pool? Simplify this, and include correct units as part of your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333335 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=333335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> area of rectangular swimming pool is equal to 3x^2 + 11x + 6 square feet.<BR>\n" );
document.write( "one side of the pool is equal to 3x + 2 feet.<BR>\n" );
document.write( "the formula for the area of a rectangle is L * W = A<BR>\n" );
document.write( "L is the length<BR>\n" );
document.write( "W is the width.<BR>\n" );
document.write( "A is the area.<BR>\n" );
document.write( "you have A = 3x^2 + 11x + 6<BR>\n" );
document.write( "you have L = 3x + 2<BR>\n" );
document.write( "if A equals L * W, then:<BR>\n" );
document.write( "W = A / L<BR>\n" );
document.write( "this would be:<BR>\n" );
document.write( "(3x^2 + 11x + 6) / (3x + 2)<BR>\n" );
document.write( "we can do the division, or we can determine that this is a quadratic equation whose factors will be (3x + 2) * (x + something).<BR>\n" );
document.write( "since 6 is equal to 2 * 3, that something is probably 3.<BR>\n" );
document.write( "let's try the factors of (3x + 2) * (x + 3)<BR>\n" );
document.write( "we multiply those factors together to get:<BR>\n" );
document.write( "3x^2 + 9x + 2x + 6<BR>\n" );
document.write( "combine like terms to get 3x^2 + 11x + 6<BR>\n" );
document.write( "since this is the quadratic equation that represents the area of the pool, then we have found the width of the pool.<BR>\n" );
document.write( "A = L * W = (3x+2) * (x+3)<BR>\n" );
document.write( "L = 3x + 2 feet<BR>\n" );
document.write( "W = x + 3 feet<BR>\n" );
document.write( "we were given the length of the pool as 3x + 2 feet.<BR>\n" );
document.write( "the other side of the pool is the width of the pool which is equal to x + 3 feet<BR>\n" );
document.write( "if you multiply L * W you will get the area of the pool which is equal to 3x^2 + 11x + 6 square feet </SPAN>\n" );
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